27030826368 has 768 divisors, whose sum is σ = 103542566400. Its totient is φ = 6569164800.

The previous prime is 27030826363. The next prime is 27030826373. The reversal of 27030826368 is 86362803072.

27030826368 is a `hidden beast` number, since 2 + 7 + 0 + 3 + 0 + 8 + 2 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (27030826363) and next prime (27030826373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27030826363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81663963 + ... + 81664293.

It is an arithmetic number, because the mean of its divisors is an integer number (134821050).

Almost surely, 2^27030826368 is an apocalyptic number.

27030826368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27030826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51771283200).

27030826368 is an abundant number, since it is smaller than the sum of its proper divisors (76511740032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27030826368 is a wasteful number, since it uses less digits than its factorization.

27030826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27030826368 in words is "twenty-seven billion, thirty million, eight hundred twenty-six thousand, three hundred sixty-eight".